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Finding the Third Proportional to 612,732 and 1,330,074

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Solution

The third proportional to 612,732 and 1,330,074 is: 2,887,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,732 : 1,330,074 = 1,330,074 : x
  2. Step 2: Convert to fraction form
    612,732/1,330,074 = 1,330,074/x
  3. Step 3: Cross multiply
    612,732x = 1,330,074 × 1,330,074
  4. Step 4: Simplify right side
    612,732x = 1,769,096,845,476
  5. Step 5: Solve for x
    x = 1,769,096,845,476/612,732
  6. Step 6: Final answer
    x = 2,887,227.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.